Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Trigonometric Substitution
Integration by Substitution
Algebraic Simplification
Trigonometric Identities

Formulas

x = 3tan(θ)
dx = 3sec^2(θ) dθ
√(x^2 + 9) = 3sec(θ)
tan^2(θ) = sec^2(θ) - 1

Theorems

Fundamental Theorem of Calculus
Trigonometric Identity for tan^2 and sec^2

Suitable Grade Level

Grades 11-12 (Advanced Calculus)